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Finding the Third Proportional to 41,726 and 92,781

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Solution

The third proportional to 41,726 and 92,781 is: 206,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,726 : 92,781 = 92,781 : x
  2. Step 2: Convert to fraction form
    41,726/92,781 = 92,781/x
  3. Step 3: Cross multiply
    41,726x = 92,781 × 92,781
  4. Step 4: Simplify right side
    41,726x = 8,608,313,961
  5. Step 5: Solve for x
    x = 8,608,313,961/41,726
  6. Step 6: Final answer
    x = 206,305.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.